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Finding the Fourth Proportional to 30,601.47, 45,897.88 and 9,822.27

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Solution

The fourth proportional to 30,601.47, 45,897.88 and 9,822.27 is: 14,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.47 : 45,897.88 = 9,822.27 : x
  2. Step 2: Convert to fraction form
    30,601.47/45,897.88 = 9,822.27/x
  3. Step 3: Cross multiply
    30,601.47x = 45,897.88 × 9,822.27
  4. Step 4: Simplify right side
    30,601.47x = 450,821,369.79
  5. Step 5: Solve for x
    x = 450,821,369.79/30,601.47
  6. Step 6: Final answer
    x = 14,732.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.